The difference of a number and 3 is the same as 39 less the number. Find the numbet?
let the number be x
x-3 = 39-x
2x = 42
x = 21
n - 3 = 39 - n
2 n = 42
n = 21
Well, this is a tricky one! Let's call the number "x." According to the problem, the difference between the number and 3 is the same as 39 less the number. So we can write it as an equation:
x - 3 = 39 - x
Now, let's solve it together.
If we add "x" to both sides of the equation, we get:
2x - 3 = 39
Then, if we add 3 to both sides, we have:
2x = 42
Finally, dividing both sides by 2, we find:
x = 21
So, the number is 21. Voila!
Let's solve the problem step by step:
Step 1: Let's translate the sentence into an equation.
"The difference of a number and 3" can be represented as "x - 3" (where x represents the unknown number).
"is the same as" can be represented as "=".
"39 less the number" can be represented as "- 39".
So, the equation becomes: x - 3 = 39 - x.
Step 2: Simplify the equation.
To solve for x, we need to eliminate any variables on both sides of the equation. We can do this by adding x to both sides.
x - 3 + x = 39 - x + x.
This simplifies to: 2x - 3 = 39.
Step 3: Remove the constant term on the left side by adding 3 to both sides.
2x - 3 + 3 = 39 + 3.
This simplifies to: 2x = 42.
Step 4: Solve for x by dividing both sides of the equation by 2.
2x/2 = 42/2.
This simplifies to: x = 21.
Therefore, the number is 21.
To find the number, we can set up an equation based on the information given.
Let's call the number "x".
"The difference of a number and 3" can be written as x - 3.
"39 less the number" can be written as 39 - x.
According to the information given, the difference of the number and 3 is the same as 39 less the number.
So, we have the equation:
x - 3 = 39 - x
To solve this equation, we can simplify it by adding x to both sides:
2x - 3 = 39
Next, we can add 3 to both sides of the equation:
2x = 39 + 3
Simplifying further:
2x = 42
Finally, we can divide both sides of the equation by 2 to solve for x:
x = 42 / 2
x = 21
Therefore, the number is 21.